codeforces A.Vacations

最新推荐文章于 2020-07-11 14:35:42 发布

这个做不了。

最新推荐文章于 2020-07-11 14:35:42 发布

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分类专栏：大学竞赛文章标签： dp codeforces

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本文介绍了一个算法问题，旨在通过动态规划方法找到在给定条件下最小化的休息天数。主人公Vasya希望在假期中提升IT技能并进行体育锻炼，但避免连续两天做同样的活动。文章详细解释了输入数据的格式及输出的要求，并给出了AC代码实现。

Vasya has n days of vacations! So he decided to improve his IT skills and do sport. Vasya knows the following information about each of this n days: whether that gym opened and whether a contest was carried out in the Internet on that day. For the i-th day there are four options:

on this day the gym is closed and the contest is not carried out;
on this day the gym is closed and the contest is carried out;
on this day the gym is open and the contest is not carried out;
on this day the gym is open and the contest is carried out.

On each of days Vasya can either have a rest or write the contest (if it is carried out on this day), or do sport (if the gym is open on this day).

Find the minimum number of days on which Vasya will have a rest (it means, he will not do sport and write the contest at the same time). The only limitation that Vasya has — he does not want to do the same activity on two consecutive days: it means, he will not do sport on two consecutive days, and write the contest on two consecutive days.

Input

The first line contains a positive integer n (1 ≤ n ≤ 100) — the number of days of Vasya's vacations.

The second line contains the sequence of integers a1, a2, ..., an (0 ≤ ai ≤ 3) separated by space, where:

ai equals 0, if on the i-th day of vacations the gym is closed and the contest is not carried out;
ai equals 1, if on the i-th day of vacations the gym is closed, but the contest is carried out;
ai equals 2, if on the i-th day of vacations the gym is open and the contest is not carried out;
ai equals 3, if on the i-th day of vacations the gym is open and the contest is carried out.

Output

Print the minimum possible number of days on which Vasya will have a rest. Remember that Vasya refuses:

to do sport on any two consecutive days,
to write the contest on any two consecutive days.

dp表示最大的工作天数，则ans=n-max(dp)

dp[i][0]表示第天休息，dp[i][1]表示参加测试, dp[i][2]表示参加运动

AC代码：

# include <stdio.h>
# include <iostream>
# include <string>
# include <algorithm>
# include <string.h>
# include <map>
# include <limits.h>
# include <vector>
using namespace std;
typedef long long int ll;
int dp[110][5], a[110];
int main(){
	int i, j, k, l, n , m, t;
	scanf("%d", &n);
	for(i=1; i<=n; i++){
		scanf("%d", &a[i]);
	}
	for(i=1; i<=n; i++){
		dp[i][0]=max(max(dp[i-1][1], dp[i-1][2]), dp[i-1][0]);
		if(1&a[i])
		dp[i][1]=max(dp[i-1][2], dp[i-1][0])+1;
		if(2&a[i])
		dp[i][2]=max(dp[i-1][1], dp[i-1][0])+1;
	}
	int ans=dp[n][0];
	if(1&a[n])ans=max(ans, dp[n][1]);
	if(2&a[n])ans=max(ans, dp[n][2]);
	printf("%d", n-ans);
	return 0;
}